102201021212121 has 24 divisors (see below), whose sum is σ = 158980117781576. Its totient is φ = 62892638853120.

The previous prime is 102201021212119. The next prime is 102201021212141. The reversal of 102201021212121 is 121212120102201.

102201021212121 is a `hidden beast` number, since 10 + 220 + 10 + 212 + 1 + 212 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6932899641600 + 95268121570521 = 2633040^2 + 9760539^2 .

It is not a de Polignac number, because 102201021212121 - 2¹ = 102201021212119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102201021212094 and 102201021212103.

It is not an unprimeable number, because it can be changed into a prime (102201021212141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24218091 + ... + 28123263.

Almost surely, 2^{102201021212121} is an apocalyptic number.

It is an amenable number.

102201021212121 is a deficient number, since it is larger than the sum of its proper divisors (56779096569455).

102201021212121 is a wasteful number, since it uses less digits than its factorization.

102201021212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128873 (or 4128870 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102201021212121 its reverse (121212120102201), we get a palindrome (223413141314322).

The spelling of 102201021212121 in words is "one hundred two trillion, two hundred one billion, twenty-one million, two hundred twelve thousand, one hundred twenty-one".